Abstract: An anisotropic elastic web, particularly an anisotropic elastic film layer having a machine direction and a cross direction and having a thickness of from 20 to 300 microns formed of an extruded blend of a block copolymer elastomer portion and a polyolefin polymer portion blended in a ratio of from 10:1 to 0.4:1, respectively. The elastomer portion generally is a block copolymer elastomer formed of A blocks and B blocks, the A blocks are formed predominately of monoalkenyl arene and the B blocks are formed predominately of conjugated diene. The polyolefin portion is comprised predominately of an inelastic fiber forming polyolefin polymer, copolymer or blend. The anisotropic film layer has a F10 force Ratio (MD to CD) of at least 1.5. This anisotropic elastic web is usable in a variety of garment applications where an elastic is supplied in roll form and requires strength in a machine direction and elastic properties in a cross direction.